Finite Group Databasebeta

← C139×#36753 #48031349

Subgroups — C139×#36753 #48031349

Order 35584.

1588 conjugacy classes of subgroups.

The subgroup lattice has 1366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2857×C139C211yesmaximal, characteristic, complemented
2#2855×C139C211yesmaximal, characteristic, complemented
3#2807×C139C211yesmaximal, characteristic, complemented
4#2806×C139C211yesmaximal, characteristic, complemented
5#2792×C139C211yesmaximal, characteristic, complemented
6#2791×C139C211yesmaximal, characteristic, complemented
7#2788×C139C211yesmaximal, characteristic, complemented
8#2748×C139C211yesmaximal, characteristic
9#2742×C139C211yesmaximal, characteristic, complemented
10#2732×C139C211yesmaximal, characteristic
11#2729×C139C211yesmaximal, characteristic, complemented
12#2720×C139C211yesmaximal, characteristic, complemented
13#2720×C139C211yesmaximal, characteristic, complemented
14#2713×C139C211yesmaximal, characteristic, complemented
15#2704×C139C211yesmaximal, characteristic, complemented
16#2692×C139C211yesmaximal, characteristic
17#2692×C139C211yesmaximal, characteristic
18#2677×C139C211yesmaximal, characteristic, complemented
19#2667×C139C211yesmaximal, characteristic, complemented
20#2665×C139C211yesmaximal, characteristic, complemented
21#2612×C139C211yesmaximal, characteristic, complemented
22#2607×C139C211yesmaximal, characteristic, complemented
23#2606×C139C211yesmaximal, characteristic, complemented
24#2605×C139C211yesmaximal, characteristic, complemented
25#2550×C139C211yesmaximal, characteristic, complemented
26#2549×C139C211yesmaximal, characteristic, complemented
27#2441×C139C211yesmaximal, characteristic, complemented
28#2438×C139C211yesmaximal, characteristic, complemented
29#2319×C139C211yesmaximal, characteristic
30#2318×C139C211yesmaximal, characteristic
31#2290×C139C211yesmaximal, characteristic
32C2×C4⋊Q8×C139C2211yescharacteristic
33C2×C4⋊Q8×C139C2211yescharacteristic
34C2×#125×C139C2211yescharacteristic
35C2×#125×C139C2211yescharacteristic
36C2×C22⋊Q8×C139C2211yescharacteristic
37C2×C22⋊Q8×C139C2211yescharacteristic
38C2×C22⋊Q8×C139C2211yescharacteristic
39C2×C22⋊Q8×C139C2211yescharacteristic
40C2×C22⋊Q8×C139C2211yescharacteristic
41C2×C22⋊Q8×C139C2211yescharacteristic
42C2×C4×D4×C139C2211yescharacteristic
43C2×#117×C139C2211yescharacteristic
44C22×C42×C139C2211yescharacteristic
45#400×C139C2211yescharacteristic
46#400×C139C2211yescharacteristic
47#400×C139C2211yescharacteristic
48#400×C139C2211yescharacteristic
49#400×C139C2211yescharacteristic
50#400×C139C2211yescharacteristic
51#399×C139C2211yescharacteristic
52#399×C139C2211yescharacteristic
53#399×C139C2211yescharacteristic
54#399×C139C2211yescharacteristic
55#399×C139C2211yescharacteristic
56#399×C139C2211yescharacteristic
57#398×C139C2211yescharacteristic
58#398×C139C2211yescharacteristic
59#398×C139C2211yescharacteristic
60#398×C139C2211yescharacteristic
61#398×C139C2211yescharacteristic
62#398×C139C2211yescharacteristic
63#398×C139C2211yescharacteristic
64#398×C139C2211yescharacteristic
65#398×C139C2211yescharacteristic
66#398×C139C2211yescharacteristic
67#398×C139C2211yescharacteristic
68#398×C139C2211yescharacteristic
69#398×C139C2211yescharacteristic
70#398×C139C2211yescharacteristic
71#398×C139C2211yescharacteristic
72#398×C139C2211yescharacteristic
73#396×C139C2211yescharacteristic
74#396×C139C2211yescharacteristic
75#396×C139C2211yescharacteristic
76#396×C139C2211yescharacteristic
77#396×C139C2211yescharacteristic
78#396×C139C2211yescharacteristic
79#395×C139C2211yescharacteristic
80#395×C139C2211yescharacteristic
81#395×C139C2211yescharacteristic
82#395×C139C2211yescharacteristic
83#395×C139C2211yescharacteristic
84#395×C139C2211yescharacteristic
85#395×C139C2211yescharacteristic
86#395×C139C2211yescharacteristic
87#395×C139C2211yescharacteristic
88#395×C139C2211yescharacteristic
89#393×C139C2211yescharacteristic
90#393×C139C2211yescharacteristic
91#393×C139C2211yescharacteristic
92#393×C139C2211yescharacteristic
93#391×C139C2211yescharacteristic
94#391×C139C2211yescharacteristic
95#391×C139C2211yescharacteristic
96#391×C139C2211yescharacteristic
97#391×C139C2211yescharacteristic
98#391×C139C2211yescharacteristic
99#391×C139C2211yescharacteristic
100#391×C139C2211yescharacteristic
101#391×C139C2211yescharacteristic
102#391×C139C2211yescharacteristic
103#391×C139C2211yescharacteristic
104#390×C139C2211yescharacteristic
105#390×C139C2211yescharacteristic
106#389×C139C2211yescharacteristic
107#389×C139C2211yescharacteristic
108#389×C139C2211yescharacteristic
109#389×C139C2211yescharacteristic
110#389×C139C2211yescharacteristic
111#389×C139C2211yescharacteristic
112#389×C139C2211yescharacteristic
113#389×C139C2211yescharacteristic
114#389×C139C2211yescharacteristic
115#389×C139C2211yescharacteristic
116#389×C139C2211yescharacteristic
117#389×C139C2211yescharacteristic
118#389×C139C2211yescharacteristic
119#389×C139C2211yescharacteristic
120#389×C139C2211yescharacteristic
121#389×C139C2211yescharacteristic
122#389×C139C2211yescharacteristic
123#388×C139C2211yescharacteristic
124#388×C139C2211yescharacteristic
125#388×C139C2211yescharacteristic
126#388×C139C2211yescharacteristic
127#388×C139C2211yescharacteristic
128#388×C139C2211yescharacteristic
129#388×C139C2211yescharacteristic
130#388×C139C2211yescharacteristic
131#387×C139C2211yescharacteristic
132#387×C139C2211yescharacteristic
133#387×C139C2211yescharacteristic
134#387×C139C2211yescharacteristic
135#387×C139C2211yescharacteristic
136#387×C139C2211yescharacteristic
137#387×C139C2211yescharacteristic
138#387×C139C2211yescharacteristic
139#387×C139C2211yescharacteristic
140#387×C139C2211yescharacteristic
141#387×C139C2211yescharacteristic
142#387×C139C2211yescharacteristic
143#387×C139C2211yescharacteristic
144#387×C139C2211yescharacteristic
145#387×C139C2211yescharacteristic
146#387×C139C2211yescharacteristic
147#387×C139C2211yescharacteristic
148#387×C139C2211yescharacteristic
149#387×C139C2211yescharacteristic
150#387×C139C2211yescharacteristic
151#386×C139C2211yescharacteristic
152#386×C139C2211yescharacteristic
153#386×C139C2211yescharacteristic
154#386×C139C2211yescharacteristic
155#385×C139C2211yescharacteristic
156#385×C139C2211yescharacteristic
157#385×C139C2211yescharacteristic
158#385×C139C2211yescharacteristic
159#385×C139C2211yescharacteristic
160#385×C139C2211yescharacteristic
161#385×C139C2211yescharacteristic
162#385×C139C2211yescharacteristic
163#385×C139C2211yescharacteristic
164#385×C139C2211yescharacteristic
165#384×C139C2211yescharacteristic
166#384×C139C2211yescharacteristic
167#383×C139C2211yescharacteristic
168#382×C139C2211yescharacteristic
169#381×C139C2211yescharacteristic
170#381×C139C2211yescharacteristic
171#381×C139C2211yescharacteristic
172#380×C139C2211yescharacteristic
173#380×C139C2211yescharacteristic
174#380×C139C2211yescharacteristic
175#380×C139C2211yescharacteristic
176#380×C139C2211yescharacteristic
177#380×C139C2211yescharacteristic
178#380×C139C2211yescharacteristic
179C4×C4⋊C4×C139C2211yescharacteristic
180C4×C4⋊C4×C139C2211yescharacteristic
181C4×C22⋊C4×C139C2211yescharacteristic
182C4×C22⋊C4×C139C2211yescharacteristic
183C4×C22⋊C4×C139C2211yescharacteristic
184#376×C139C2211yescharacteristic
185#376×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic
187C22×Q8×C139C2311yescharacteristic
188C22×Q8×C139C2311yescharacteristic
189C22×Q8×C139C2311yescharacteristic
190C22×Q8×C139C2311yescharacteristic
191C22×Q8×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C23×C4×C139C2311yescharacteristic
194C23×C4×C139C2311yescharacteristic
195C23×C4×C139C2311yescharacteristic
196C23×C4×C139C2311yescharacteristic
197C23×C4×C139C2311yescharacteristic
198C23×C4×C139C2311yescharacteristic
199C4⋊Q8×C139—42no—
200C4⋊Q8×C139—42no—
201#125×C139—42no—
202#125×C139—42no—
203C22⋊Q8×C139—42no—
204C22⋊Q8×C139—42no—
205C22⋊Q8×C139—42no—
206C22⋊Q8×C139—42no—
207C22⋊Q8×C139—42no—
208C22⋊Q8×C139—42no—
209C4×D4×C139Q818yescomplemented
210#117×C139—42no—
211C2×C4⋊C4×C139C2311yescharacteristic
212C2×C4⋊C4×C139C2311yescharacteristic
213C2×C4⋊C4×C139C2311yescharacteristic
214C2×C4⋊C4×C139C2311yescharacteristic
215C2×C4⋊C4×C139C2311yescharacteristic
216C2×C4⋊C4×C139C2311yescharacteristic
217C2×C4⋊C4×C139C2311yescharacteristic
218C2×C4⋊C4×C139C2311yescharacteristic
219C2×C4⋊C4×C139C2311yescharacteristic
220C2×C4⋊C4×C139C2311yescharacteristic
221C2×C4⋊C4×C139C2311yescharacteristic
222C2×C4⋊C4×C139C2311yescharacteristic
223C2×C4⋊C4×C139C2311yescharacteristic
224C2×C4⋊C4×C139C2311yescharacteristic
225C2×C4⋊C4×C139C2311yescharacteristic
226C2×C4⋊C4×C139C2311yescharacteristic
227C2×C4⋊C4×C139C2311yescharacteristic
228C2×C4⋊C4×C139C2311yescharacteristic
229C2×C4⋊C4×C139C2311yescharacteristic
230C2×C4⋊C4×C139C2311yescharacteristic
231C2×C4⋊C4×C139C2311yescharacteristic
232C2×C4⋊C4×C139C2311yescharacteristic
233C2×C4⋊C4×C139C2311yescharacteristic
234C2×C4⋊C4×C139C2311yescharacteristic
235C2×C4⋊C4×C139C2311yescharacteristic
236C2×C4⋊C4×C139C2311yescharacteristic
237C2×C4⋊C4×C139C2311yescharacteristic
238C2×C4⋊C4×C139C2311yescharacteristic
239C2×C4⋊C4×C139C2311yescharacteristic
240C2×C4⋊C4×C139C2311yescharacteristic
241C2×C4⋊C4×C139C2311yescharacteristic
242C2×C4⋊C4×C139C2311yescharacteristic
243C2×C4⋊C4×C139C2311yescharacteristic
244C2×C4⋊C4×C139C2311yescharacteristic
245C2×C4⋊C4×C139C2311yescharacteristic
246C2×C4⋊C4×C139C2311yescharacteristic
247C2×C4⋊C4×C139C2311yescharacteristic
248C2×C4⋊C4×C139C2311yescharacteristic
249C2×C4⋊C4×C139C2311yescharacteristic
250C2×C4⋊C4×C139C2311yescharacteristic
251C2×C4⋊C4×C139C2311yescharacteristic
252C2×C4⋊C4×C139C2311yescharacteristic
253C2×C4⋊C4×C139C2311yescharacteristic
254C2×C4⋊C4×C139C2311yescharacteristic
255C2×C4⋊C4×C139C2311yescharacteristic
256C2×C4⋊C4×C139C2311yescharacteristic
257C2×C4⋊C4×C139C2311yescharacteristic
258C2×C4⋊C4×C139C2311yescharacteristic
259C2×C4⋊C4×C139C2311yescharacteristic
260C2×C4⋊C4×C139C2311yescharacteristic
261C2×C4⋊C4×C139C2311yescharacteristic
262C2×C4⋊C4×C139C2311yescharacteristic
263C2×C22⋊C4×C139C2311yescharacteristic
264C2×C22⋊C4×C139C2311yescharacteristic
265C2×C22⋊C4×C139C2311yescharacteristic
266C2×C22⋊C4×C139C2311yescharacteristic
267C2×C22⋊C4×C139C2311yescharacteristic
268C2×C22⋊C4×C139C2311yescharacteristic
269C2×C22⋊C4×C139C2311yescharacteristic
270C2×C22⋊C4×C139C2311yescharacteristic
271C2×C22⋊C4×C139C2311yescharacteristic
272C2×C22⋊C4×C139C2311yescharacteristic
273C2×C22⋊C4×C139C2311yescharacteristic
274C2×C22⋊C4×C139C2311yescharacteristic
275C2×C22⋊C4×C139C2311yescharacteristic
276C2×C22⋊C4×C139C2311yescharacteristic
277C2×C22⋊C4×C139C2311yescharacteristic
278C2×C22⋊C4×C139C2311yescharacteristic
279C2×C22⋊C4×C139C2311yescharacteristic
280C2×C22⋊C4×C139C2311yescharacteristic
281C2×C22⋊C4×C139C2311yescharacteristic
282C2×C22⋊C4×C139C2311yescharacteristic
283C2×C22⋊C4×C139C2311yescharacteristic
284C2×C22⋊C4×C139C2311yescharacteristic
285C2×C42×C139—42no—
286C2×C42×C139C2311yescharacteristic
287C2×C42×C139C2311yescharacteristic
288C2×C42×C139C2311yescharacteristic
289C2×C42×C139C2311yescharacteristic
290C2×C42×C139C2311yescharacteristic
291C2×C42×C139C2311yescharacteristic
292C2×C42×C139C2311yescharacteristic
293C2×C42×C139C2311yescharacteristic
294C2×C42×C139C2311yescharacteristic
295C2×C42×C139C2311yescharacteristic
296C2×C42×C139C2311yescharacteristic
297C2×C42×C139C2311yescharacteristic
298C2×C42×C139C2311yescharacteristic
299#95×C139C2311yescharacteristic
300#95×C139C2311yescharacteristic
301#95×C139C2311yescharacteristic
302#95×C139C2311yescharacteristic
303#95×C139C2311yescharacteristic
304#95×C139C2311yescharacteristic
305#95×C139C2311yescharacteristic
306#95×C139C2311yescharacteristic
307#95×C139C2311yescharacteristic
308#95×C139C2311yescharacteristic
309#95×C139C2311yescharacteristic
310#95×C139C2311yescharacteristic
311#95×C139C2311yescharacteristic
312#95×C139C2311yescharacteristic
313#95×C139C2311yescharacteristic
314#95×C139C2311yescharacteristic
315#95×C139C2311yescharacteristic
316#95×C139C2311yescharacteristic
317#95×C139C2311yescharacteristic
318#95×C139C2311yescharacteristic
319#95×C139C2311yescharacteristic
320#95×C139C2311yescharacteristic
321#95×C139C2311yescharacteristic
322#95×C139C2311yescharacteristic
323#95×C139C2311yescharacteristic
324#95×C139C2311yescharacteristic
325#95×C139C2311yescharacteristic
326#95×C139C2311yescharacteristic
327#95×C139C2311yescharacteristic
328#95×C139C2311yescharacteristic
329#95×C139C2311yescharacteristic
330#95×C139C2311yescharacteristic
331#95×C139C2311yescharacteristic
332#95×C139C2311yescharacteristic
333#95×C139C2311yescharacteristic
334#95×C139C2311yescharacteristic
335#95×C139C2311yescharacteristic
336#95×C139C2311yescharacteristic
337#95×C139C2311yescharacteristic
338#95×C139C2311yescharacteristic
339#95×C139C2311yescharacteristic
340#95×C139C2311yescharacteristic
341#95×C139C2311yescharacteristic
342#95×C139C2311yescharacteristic
343#95×C139C2311yescharacteristic
344#95×C139C2311yescharacteristic
345#95×C139C2311yescharacteristic
346#95×C139C2311yescharacteristic
347#95×C139C2311yescharacteristic
348#95×C139C2311yescharacteristic
349#95×C139C2311yescharacteristic
350#95×C139C2311yescharacteristic
351#95×C139C2311yescharacteristic
352#95×C139C2311yescharacteristic
353#95×C139C2311yescharacteristic
354#95×C139C2311yescharacteristic
355C24×C139C2411yescharacteristic
356C24×C139C2411yescharacteristic
357C2×Q8×C139—22no—
358C2×Q8×C139—22no—
359C2×Q8×C139—22no—
360C2×Q8×C139—41no—
361C2×Q8×C139—41no—
362C2×Q8×C139—41no—
363C2×Q8×C139—41no—
364C2×Q8×C139—41no—
365C2×Q8×C139—41no—
366C2×Q8×C139—41no—
367C2×Q8×C139—41no—
368C2×Q8×C139—41no—
369C2×Q8×C139—41no—
370C2×Q8×C139—41no—
371C2×Q8×C139—41no—
372C2×D4×C139—41no—
373C2×D4×C139—41no—
374C2×D4×C139C2×Q814yes—
375C22×C4×C139—22no—
376C22×C4×C139—22no—
377C22×C4×C139—22no—
378C22×C4×C139—41no—
379C22×C4×C139—41no—
380C22×C4×C139—41no—
381C22×C4×C139—41no—
382C22×C4×C139—41no—
383C22×C4×C139—41no—
384C22×C4×C139—41no—
385C22×C4×C139—41no—
386C22×C4×C139—41no—
387C22×C4×C139—41no—
388C22×C4×C139—41no—
389C22×C4×C139—41no—
390C22×C4×C139—41no—
391C22×C4×C139C2×Q814yes—
392C22×C4×C139C2×Q814yes—
393C22×C4×C139C2411yescharacteristic
394C22×C4×C139C2411yescharacteristic
395C22×C4×C139C2411yescharacteristic
396C22×C4×C139C2411yescharacteristic
397C22×C4×C139C2411yescharacteristic
398C22×C4×C139C2411yescharacteristic
399C22×C4×C139C2411yescharacteristic
400C22×C4×C139C2411yescharacteristic
401C22×C4×C139C2411yescharacteristic
402C22×C4×C139C2411yescharacteristic
403C22×C4×C139C2411yescharacteristic
404C22×C4×C139C2411yescharacteristic
405C22×C4×C139C2411yescharacteristic
406C22×C4×C139C2411yescharacteristic
407C22×C4×C139C2411yescharacteristic
408C22×C4×C139C2411yescharacteristic
409C22×C4×C139C2411yescharacteristic
410C22×C4×C139C2411yescharacteristic
411C22×C4×C139C2411yescharacteristic
412C22×C4×C139C2411yescharacteristic
413C22×C4×C139C2411yescharacteristic
414C22×C4×C139C2411yescharacteristic
415C22×C4×C139C2411yescharacteristic
416C22×C4×C139C2411yescharacteristic
417C22×C4×C139C2411yescharacteristic
418C22×C4×C139C2411yescharacteristic
419C22×C4×C139C2411yescharacteristic
420C22×C4×C139C2411yescharacteristic
421C22×C4×C139C2411yescharacteristic
422C4⋊C4×C139—22no—
423C4⋊C4×C139—22no—
424C4⋊C4×C139—22no—
425C4⋊C4×C139—22no—
426C4⋊C4×C139—22no—
427C4⋊C4×C139—22no—
428C4⋊C4×C139—22no—
429C4⋊C4×C139—22no—
430C4⋊C4×C139—22no—
431C4⋊C4×C139—22no—
432C4⋊C4×C139—22no—
433C4⋊C4×C139—22no—
434C4⋊C4×C139—41no—
435C4⋊C4×C139—41no—
436C4⋊C4×C139—41no—
437C4⋊C4×C139—41no—
438C4⋊C4×C139—41no—
439C4⋊C4×C139—41no—
440C4⋊C4×C139—41no—
441C4⋊C4×C139—41no—
442C4⋊C4×C139—41no—
443C4⋊C4×C139—41no—
444C4⋊C4×C139—41no—
445C4⋊C4×C139—41no—
446C4⋊C4×C139—41no—
447C4⋊C4×C139—41no—
448C4⋊C4×C139—41no—
449C4⋊C4×C139—41no—
450C4⋊C4×C139—41no—
451C4⋊C4×C139—41no—
452C4⋊C4×C139—41no—
453C4⋊C4×C139—41no—
454C4⋊C4×C139—41no—
455C4⋊C4×C139—41no—
456C4⋊C4×C139—41no—
457C4⋊C4×C139—41no—
458C4⋊C4×C139—41no—
459C4⋊C4×C139—41no—
460C4⋊C4×C139—41no—
461C4⋊C4×C139—41no—
462C4⋊C4×C139—41no—
463C4⋊C4×C139—41no—
464C4⋊C4×C139—41no—
465C4⋊C4×C139—41no—
466C4⋊C4×C139—41no—
467C4⋊C4×C139—41no—
468C4⋊C4×C139—41no—
469C4⋊C4×C139—41no—
470C4⋊C4×C139—41no—
471C4⋊C4×C139—41no—
472C4⋊C4×C139—41no—
473C4⋊C4×C139C2×Q814yes—
474C22⋊C4×C139—22no—
475C22⋊C4×C139—22no—
476C22⋊C4×C139—22no—
477C22⋊C4×C139—41no—
478C22⋊C4×C139—41no—
479C22⋊C4×C139—41no—
480C22⋊C4×C139—41no—
481C22⋊C4×C139—41no—
482C22⋊C4×C139—41no—
483C22⋊C4×C139—41no—
484C22⋊C4×C139—41no—
485C22⋊C4×C139—41no—
486C22⋊C4×C139—41no—
487C22⋊C4×C139—41no—
488C22⋊C4×C139—41no—
489C22⋊C4×C139—41no—
490C22⋊C4×C139—41no—
491C22⋊C4×C139—41no—
492C22⋊C4×C139—41no—
493C22⋊C4×C139—41no—
494C22⋊C4×C139C2×Q814yes—
495C22⋊C4×C139C2×Q814yes—
496C42×C139—22no—
497C42×C139—22no—
498C42×C139—41no—
499C42×C139—41no—
500C42×C139—41no—
501C42×C139—41no—
502C42×C139—41no—
503C42×C139—41no—
504C42×C139—41no—
505C42×C139—41no—
506C42×C139—41no—
507C42×C139—41no—
508C42×C139C2×Q814yes—
509C23×C139—21no—
510C23×C139—21no—
511C23×C139—21no—
512C23×C139—21no—
513C23×C139—21no—
514C23×C139—21no—
515C23×C139—21no—
516C23×C139—21no—
517C23×C139—21no—
518C23×C139—21no—
519C23×C139—21no—
520C23×C139—21no—
521C23×C139C22×Q812yes—
522C23×C139C22×Q812yes—
523C23×C139C2511yescharacteristic
524Q8×C139—82no—
525Q8×C139—82no—
526Q8×C139—82no—
527Q8×C139—82no—
528Q8×C139—82no—
529D4×C139—44no—
530C2×C4×C139—21no—
531C2×C4×C139—21no—
532C2×C4×C139—21no—
533C2×C4×C139—21no—
534C2×C4×C139—21no—
535C2×C4×C139—21no—
536C2×C4×C139—21no—
537C2×C4×C139—21no—
538C2×C4×C139—21no—
539C2×C4×C139—21no—
540C2×C4×C139—21no—
541C2×C4×C139—21no—
542C2×C4×C139—21no—
543C2×C4×C139—21no—
544C2×C4×C139—21no—
545C2×C4×C139—21no—
546C2×C4×C139—21no—
547C2×C4×C139—21no—
548C2×C4×C139—21no—
549C2×C4×C139—21no—
550C2×C4×C139—21no—
551C2×C4×C139—21no—
552C2×C4×C139—21no—
553C2×C4×C139—21no—
554C2×C4×C139—21no—
555C2×C4×C139—21no—
556C2×C4×C139—21no—
557C2×C4×C139—21no—
558C2×C4×C139—21no—
559C2×C4×C139—21no—
560C2×C4×C139—21no—
561C2×C4×C139—21no—
562C2×C4×C139—21no—
563C2×C4×C139—21no—
564C2×C4×C139—21no—
565C2×C4×C139—21no—
566C2×C4×C139—21no—
567C2×C4×C139—21no—
568C2×C4×C139—21no—
569C2×C4×C139—21no—
570C2×C4×C139—21no—
571C2×C4×C139—21no—
572C2×C4×C139—21no—
573C2×C4×C139—21no—
574C2×C4×C139—21no—
575C2×C4×C139—21no—
576C2×C4×C139—21no—
577C2×C4×C139—21no—
578C2×C4×C139—21no—
579C2×C4×C139—21no—
580C2×C4×C139—21no—
581C2×C4×C139—21no—
582C2×C4×C139—21no—
583C2×C4×C139—21no—
584C2×C4×C139—21no—
585C2×C4×C139—21no—
586C2×C4×C139—21no—
587C2×C4×C139—21no—
588C2×C4×C139—21no—
589C2×C4×C139—21no—
590C2×C4×C139—21no—
591C2×C4×C139—21no—
592C2×C4×C139—21no—
593C2×C4×C139—21no—
594C2×C4×C139—21no—
595C2×C4×C139—21no—
596C2×C4×C139—21no—
597C2×C4×C139—21no—
598C2×C4×C139—21no—
599C2×C4×C139—21no—
600C2×C4×C139—21no—
601C2×C4×C139—21no—
602C2×C4×C139—21no—
603C2×C4×C139—21no—
604C2×C4×C139—21no—
605C2×C4×C139—21no—
606C2×C4×C139—21no—
607C2×C4×C139—21no—
608C2×C4×C139—21no—
609C2×C4×C139—44no—
610C2×C4×C139—44no—
611C2×C4×C139—44no—
612C2×C4×C139—44no—
613C2×C4×C139—82no—
614C2×C4×C139—82no—
615C2×C4×C139C22×Q812yes—
616C2×C4×C139C22×Q812yes—
617C2×C4×C139C22×Q812yes—
618C2×C4×C139C22×Q812yes—
619C2×C4×C139C22×Q812yes—
620C2×C4×C139H(5,𝔽2)12yes—
621C2×C4×C139H(5,𝔽2)12yes—
622C2×C4×C1392−1+412yes—
623C22×C139—22no—
624C22×C139—22no—
625C22×C139—22no—
626C22×C139—22no—
627C22×C139—22no—
628C22×C139—22no—
629C22×C139—41no—
630C22×C139—41no—
631C22×C139—41no—
632C22×C139—41no—
633C22×C139—41no—
634C22×C139—41no—
635C22×C139—41no—
636C22×C139—41no—
637C22×C139C23×Q811yescharacteristic
638C22×C139C2×H(5,𝔽2)11yescharacteristic
639C22×C139C2×H(5,𝔽2)11yescharacteristic
640C22×C139C2×2−1+411yescharacteristic
641C22×C139#58511yescharacteristic
642C22×C139#58511yescharacteristic
643C22×C139#58511yescharacteristic
644C4×C139—22no—
645C4×C139—22no—
646C4×C139—22no—
647C4×C139—22no—
648C4×C139—22no—
649C4×C139—22no—
650C4×C139—22no—
651C4×C139—22no—
652C4×C139—41no—
653C4×C139—41no—
654C4×C139—41no—
655C4×C139—41no—
656C4×C139—41no—
657C4×C139—41no—
658C4×C139—41no—
659C4×C139—41no—
660C4×C139—41no—
661C4×C139—41no—
662C4×C139—41no—
663C4×C139—41no—
664C4×C139—41no—
665C4×C139—41no—
666C4×C139—41no—
667C4×C139—41no—
668C4×C139—41no—
669C4×C139—41no—
670C4×C139—41no—
671C4×C139—41no—
672C4×C139—41no—
673C2×C139—42no—
674C2×C139—42no—
675C2×C139#345811yescharacteristic
676C2×C139#350111yescharacteristic
677C2×C139#350311yescharacteristic
678C2×C139#353511yescharacteristic
679C2×C139#354211yescharacteristic
680C2×C139#355711yescharacteristic
681C2×C139#356211yescharacteristic
682#36753C13911yesmaximal, characteristic, direct product factor, Sylow
683C139#3675311yescharacteristic, direct product factor, Sylow
684#2857C2×C13911yescharacteristic, complemented
685#2855C2×C13911yescharacteristic, complemented
686#2807C2×C13911yescharacteristic, complemented
687#2806C2×C13911yescharacteristic, complemented
688#2792C2×C13911yescharacteristic, complemented
689#2791C2×C13911yescharacteristic, complemented
690#2788C2×C13911yescharacteristic, complemented
691#2748C2×C13911yescharacteristic
692#2742C2×C13911yescharacteristic, complemented
693#2732C2×C13911yescharacteristic
694#2729C2×C13911yescharacteristic, complemented
695#2720C2×C13911yescharacteristic, complemented
696#2720C2×C13911yescharacteristic, complemented
697#2713C2×C13911yescharacteristic, complemented
698#2704C2×C13911yescharacteristic, complemented
699#2692C2×C13911yescharacteristic
700#2692C2×C13911yescharacteristic
701#2677C2×C13911yescharacteristic, complemented
702#2667C2×C13911yescharacteristic, complemented
703#2665C2×C13911yescharacteristic, complemented
704#2612C2×C13911yescharacteristic, complemented
705#2607C2×C13911yescharacteristic, complemented
706#2606C2×C13911yescharacteristic, complemented
707#2605C2×C13911yescharacteristic, complemented
708#2550C2×C13911yescharacteristic, complemented
709#2549C2×C13911yescharacteristic, complemented
710#2441C2×C13911yescharacteristic, complemented
711#2438C2×C13911yescharacteristic, complemented
712#2319C2×C13911yescharacteristic
713#2318C2×C13911yescharacteristic
714#2290C2×C13911yescharacteristic
715C2×C4⋊Q8C22×C13911yescharacteristic
716C2×C4⋊Q8C22×C13911yescharacteristic
717C2×#125C22×C13911yescharacteristic
718C2×#125C22×C13911yescharacteristic
719C2×C22⋊Q8C22×C13911yescharacteristic
720C2×C22⋊Q8C22×C13911yescharacteristic
721C2×C22⋊Q8C22×C13911yescharacteristic
722C2×C22⋊Q8C22×C13911yescharacteristic
723C2×C22⋊Q8C22×C13911yescharacteristic
724C2×C22⋊Q8C22×C13911yescharacteristic
725C2×C4×D4C22×C13911yescharacteristic
726C2×#117C22×C13911yescharacteristic
727C22×C42C22×C13911yescharacteristic
728#400C22×C13911yescharacteristic
729#400C22×C13911yescharacteristic
730#400C22×C13911yescharacteristic
731#400C22×C13911yescharacteristic
732#400C22×C13911yescharacteristic
733#400C22×C13911yescharacteristic
734#399C22×C13911yescharacteristic
735#399C22×C13911yescharacteristic
736#399C22×C13911yescharacteristic
737#399C22×C13911yescharacteristic
738#399C22×C13911yescharacteristic
739#399C22×C13911yescharacteristic
740#398C22×C13911yescharacteristic
741#398C22×C13911yescharacteristic
742#398C22×C13911yescharacteristic
743#398C22×C13911yescharacteristic
744#398C22×C13911yescharacteristic
745#398C22×C13911yescharacteristic
746#398C22×C13911yescharacteristic
747#398C22×C13911yescharacteristic
748#398C22×C13911yescharacteristic
749#398C22×C13911yescharacteristic
750#398C22×C13911yescharacteristic
751#398C22×C13911yescharacteristic
752#398C22×C13911yescharacteristic
753#398C22×C13911yescharacteristic
754#398C22×C13911yescharacteristic
755#398C22×C13911yescharacteristic
756#396C22×C13911yescharacteristic
757#396C22×C13911yescharacteristic
758#396C22×C13911yescharacteristic
759#396C22×C13911yescharacteristic
760#396C22×C13911yescharacteristic
761#396C22×C13911yescharacteristic
762#395C22×C13911yescharacteristic
763#395C22×C13911yescharacteristic
764#395C22×C13911yescharacteristic
765#395C22×C13911yescharacteristic
766#395C22×C13911yescharacteristic
767#395C22×C13911yescharacteristic
768#395C22×C13911yescharacteristic
769#395C22×C13911yescharacteristic
770#395C22×C13911yescharacteristic
771#395C22×C13911yescharacteristic
772#393C22×C13911yescharacteristic
773#393C22×C13911yescharacteristic
774#393C22×C13911yescharacteristic
775#393C22×C13911yescharacteristic
776#391C22×C13911yescharacteristic
777#391C22×C13911yescharacteristic
778#391C22×C13911yescharacteristic
779#391C22×C13911yescharacteristic
780#391C22×C13911yescharacteristic
781#391C22×C13911yescharacteristic
782#391C22×C13911yescharacteristic
783#391C22×C13911yescharacteristic
784#391C22×C13911yescharacteristic
785#391C22×C13911yescharacteristic
786#391C22×C13911yescharacteristic
787#390C22×C13911yescharacteristic
788#390C22×C13911yescharacteristic
789#389C22×C13911yescharacteristic
790#389C22×C13911yescharacteristic
791#389C22×C13911yescharacteristic
792#389C22×C13911yescharacteristic
793#389C22×C13911yescharacteristic
794#389C22×C13911yescharacteristic
795#389C22×C13911yescharacteristic
796#389C22×C13911yescharacteristic
797#389C22×C13911yescharacteristic
798#389C22×C13911yescharacteristic
799#389C22×C13911yescharacteristic
800#389C22×C13911yescharacteristic
801#389C22×C13911yescharacteristic
802#389C22×C13911yescharacteristic
803#389C22×C13911yescharacteristic
804#389C22×C13911yescharacteristic
805#389C22×C13911yescharacteristic
806#388C22×C13911yescharacteristic
807#388C22×C13911yescharacteristic
808#388C22×C13911yescharacteristic
809#388C22×C13911yescharacteristic
810#388C22×C13911yescharacteristic
811#388C22×C13911yescharacteristic
812#388C22×C13911yescharacteristic
813#388C22×C13911yescharacteristic
814#387C22×C13911yescharacteristic
815#387C22×C13911yescharacteristic
816#387C22×C13911yescharacteristic
817#387C22×C13911yescharacteristic
818#387C22×C13911yescharacteristic
819#387C22×C13911yescharacteristic
820#387C22×C13911yescharacteristic
821#387C22×C13911yescharacteristic
822#387C22×C13911yescharacteristic
823#387C22×C13911yescharacteristic
824#387C22×C13911yescharacteristic
825#387C22×C13911yescharacteristic
826#387C22×C13911yescharacteristic
827#387C22×C13911yescharacteristic
828#387C22×C13911yescharacteristic
829#387C22×C13911yescharacteristic
830#387C22×C13911yescharacteristic
831#387C22×C13911yescharacteristic
832#387C22×C13911yescharacteristic
833#387C22×C13911yescharacteristic
834#386C22×C13911yescharacteristic
835#386C22×C13911yescharacteristic
836#386C22×C13911yescharacteristic
837#386C22×C13911yescharacteristic
838#385C22×C13911yescharacteristic
839#385C22×C13911yescharacteristic
840#385C22×C13911yescharacteristic
841#385C22×C13911yescharacteristic
842#385C22×C13911yescharacteristic
843#385C22×C13911yescharacteristic
844#385C22×C13911yescharacteristic
845#385C22×C13911yescharacteristic
846#385C22×C13911yescharacteristic
847#385C22×C13911yescharacteristic
848#384C22×C13911yescharacteristic
849#384C22×C13911yescharacteristic
850#383C22×C13911yescharacteristic
851#382C22×C13911yescharacteristic
852#381C22×C13911yescharacteristic
853#381C22×C13911yescharacteristic
854#381C22×C13911yescharacteristic
855#380C22×C13911yescharacteristic
856#380C22×C13911yescharacteristic
857#380C22×C13911yescharacteristic
858#380C22×C13911yescharacteristic
859#380C22×C13911yescharacteristic
860#380C22×C13911yescharacteristic
861#380C22×C13911yescharacteristic
862C4×C4⋊C4C22×C13911yescharacteristic
863C4×C4⋊C4C22×C13911yescharacteristic
864C4×C22⋊C4C22×C13911yescharacteristic
865C4×C22⋊C4C22×C13911yescharacteristic
866C4×C22⋊C4C22×C13911yescharacteristic
867#376C22×C13911yescharacteristic
868#376C22×C13911yescharacteristic
869C2×#95C22×C13911yescharacteristic
870C22×Q8C23×C13911yescharacteristic
871C22×Q8C23×C13911yescharacteristic
872C22×Q8C23×C13911yescharacteristic
873C22×Q8C23×C13911yescharacteristic
874C22×Q8C23×C13911yescharacteristic
875C22×D4C23×C13911yescharacteristic
876C23×C4C23×C13911yescharacteristic
877C23×C4C23×C13911yescharacteristic
878C23×C4C23×C13911yescharacteristic
879C23×C4C23×C13911yescharacteristic
880C23×C4C23×C13911yescharacteristic
881C23×C4C23×C13911yescharacteristic
882C4⋊Q8—42no—
883C4⋊Q8—42no—
884#125—42no—
885#125—42no—
886C22⋊Q8—42no—
887C22⋊Q8—42no—
888C22⋊Q8—42no—
889C22⋊Q8—42no—
890C22⋊Q8—42no—
891C22⋊Q8—42no—
892C4×D4Q8×C13918yescomplemented
893#117—42no—
894C2×C4⋊C4C23×C13911yescharacteristic
895C2×C4⋊C4C23×C13911yescharacteristic
896C2×C4⋊C4C23×C13911yescharacteristic
897C2×C4⋊C4C23×C13911yescharacteristic
898C2×C4⋊C4C23×C13911yescharacteristic
899C2×C4⋊C4C23×C13911yescharacteristic
900C2×C4⋊C4C23×C13911yescharacteristic
901C2×C4⋊C4C23×C13911yescharacteristic
902C2×C4⋊C4C23×C13911yescharacteristic
903C2×C4⋊C4C23×C13911yescharacteristic
904C2×C4⋊C4C23×C13911yescharacteristic
905C2×C4⋊C4C23×C13911yescharacteristic
906C2×C4⋊C4C23×C13911yescharacteristic
907C2×C4⋊C4C23×C13911yescharacteristic
908C2×C4⋊C4C23×C13911yescharacteristic
909C2×C4⋊C4C23×C13911yescharacteristic
910C2×C4⋊C4C23×C13911yescharacteristic
911C2×C4⋊C4C23×C13911yescharacteristic
912C2×C4⋊C4C23×C13911yescharacteristic
913C2×C4⋊C4C23×C13911yescharacteristic
914C2×C4⋊C4C23×C13911yescharacteristic
915C2×C4⋊C4C23×C13911yescharacteristic
916C2×C4⋊C4C23×C13911yescharacteristic
917C2×C4⋊C4C23×C13911yescharacteristic
918C2×C4⋊C4C23×C13911yescharacteristic
919C2×C4⋊C4C23×C13911yescharacteristic
920C2×C4⋊C4C23×C13911yescharacteristic
921C2×C4⋊C4C23×C13911yescharacteristic
922C2×C4⋊C4C23×C13911yescharacteristic
923C2×C4⋊C4C23×C13911yescharacteristic
924C2×C4⋊C4C23×C13911yescharacteristic
925C2×C4⋊C4C23×C13911yescharacteristic
926C2×C4⋊C4C23×C13911yescharacteristic
927C2×C4⋊C4C23×C13911yescharacteristic
928C2×C4⋊C4C23×C13911yescharacteristic
929C2×C4⋊C4C23×C13911yescharacteristic
930C2×C4⋊C4C23×C13911yescharacteristic
931C2×C4⋊C4C23×C13911yescharacteristic
932C2×C4⋊C4C23×C13911yescharacteristic
933C2×C4⋊C4C23×C13911yescharacteristic
934C2×C4⋊C4C23×C13911yescharacteristic
935C2×C4⋊C4C23×C13911yescharacteristic
936C2×C4⋊C4C23×C13911yescharacteristic
937C2×C4⋊C4C23×C13911yescharacteristic
938C2×C4⋊C4C23×C13911yescharacteristic
939C2×C4⋊C4C23×C13911yescharacteristic
940C2×C4⋊C4C23×C13911yescharacteristic
941C2×C4⋊C4C23×C13911yescharacteristic
942C2×C4⋊C4C23×C13911yescharacteristic
943C2×C4⋊C4C23×C13911yescharacteristic
944C2×C4⋊C4C23×C13911yescharacteristic
945C2×C4⋊C4C23×C13911yescharacteristic
946C2×C22⋊C4C23×C13911yescharacteristic
947C2×C22⋊C4C23×C13911yescharacteristic
948C2×C22⋊C4C23×C13911yescharacteristic
949C2×C22⋊C4C23×C13911yescharacteristic
950C2×C22⋊C4C23×C13911yescharacteristic
951C2×C22⋊C4C23×C13911yescharacteristic
952C2×C22⋊C4C23×C13911yescharacteristic
953C2×C22⋊C4C23×C13911yescharacteristic
954C2×C22⋊C4C23×C13911yescharacteristic
955C2×C22⋊C4C23×C13911yescharacteristic
956C2×C22⋊C4C23×C13911yescharacteristic
957C2×C22⋊C4C23×C13911yescharacteristic
958C2×C22⋊C4C23×C13911yescharacteristic
959C2×C22⋊C4C23×C13911yescharacteristic
960C2×C22⋊C4C23×C13911yescharacteristic
961C2×C22⋊C4C23×C13911yescharacteristic
962C2×C22⋊C4C23×C13911yescharacteristic
963C2×C22⋊C4C23×C13911yescharacteristic
964C2×C22⋊C4C23×C13911yescharacteristic
965C2×C22⋊C4C23×C13911yescharacteristic
966C2×C22⋊C4C23×C13911yescharacteristic
967C2×C22⋊C4C23×C13911yescharacteristic
968C2×C42—42no—
969C2×C42C23×C13911yescharacteristic
970C2×C42C23×C13911yescharacteristic
971C2×C42C23×C13911yescharacteristic
972C2×C42C23×C13911yescharacteristic
973C2×C42C23×C13911yescharacteristic
974C2×C42C23×C13911yescharacteristic
975C2×C42C23×C13911yescharacteristic
976C2×C42C23×C13911yescharacteristic
977C2×C42C23×C13911yescharacteristic
978C2×C42C23×C13911yescharacteristic
979C2×C42C23×C13911yescharacteristic
980C2×C42C23×C13911yescharacteristic
981C2×C42C23×C13911yescharacteristic
982#95C23×C13911yescharacteristic
983#95C23×C13911yescharacteristic
984#95C23×C13911yescharacteristic
985#95C23×C13911yescharacteristic
986#95C23×C13911yescharacteristic
987#95C23×C13911yescharacteristic
988#95C23×C13911yescharacteristic
989#95C23×C13911yescharacteristic
990#95C23×C13911yescharacteristic
991#95C23×C13911yescharacteristic
992#95C23×C13911yescharacteristic
993#95C23×C13911yescharacteristic
994#95C23×C13911yescharacteristic
995#95C23×C13911yescharacteristic
996#95C23×C13911yescharacteristic
997#95C23×C13911yescharacteristic
998#95C23×C13911yescharacteristic
999#95C23×C13911yescharacteristic
1000#95C23×C13911yescharacteristic
1001#95C23×C13911yescharacteristic
1002#95C23×C13911yescharacteristic
1003#95C23×C13911yescharacteristic
1004#95C23×C13911yescharacteristic
1005#95C23×C13911yescharacteristic
1006#95C23×C13911yescharacteristic
1007#95C23×C13911yescharacteristic
1008#95C23×C13911yescharacteristic
1009#95C23×C13911yescharacteristic
1010#95C23×C13911yescharacteristic
1011#95C23×C13911yescharacteristic
1012#95C23×C13911yescharacteristic
1013#95C23×C13911yescharacteristic
1014#95C23×C13911yescharacteristic
1015#95C23×C13911yescharacteristic
1016#95C23×C13911yescharacteristic
1017#95C23×C13911yescharacteristic
1018#95C23×C13911yescharacteristic
1019#95C23×C13911yescharacteristic
1020#95C23×C13911yescharacteristic
1021#95C23×C13911yescharacteristic
1022#95C23×C13911yescharacteristic
1023#95C23×C13911yescharacteristic
1024#95C23×C13911yescharacteristic
1025#95C23×C13911yescharacteristic
1026#95C23×C13911yescharacteristic
1027#95C23×C13911yescharacteristic
1028#95C23×C13911yescharacteristic
1029#95C23×C13911yescharacteristic
1030#95C23×C13911yescharacteristic
1031#95C23×C13911yescharacteristic
1032#95C23×C13911yescharacteristic
1033#95C23×C13911yescharacteristic
1034#95C23×C13911yescharacteristic
1035#95C23×C13911yescharacteristic
1036#95C23×C13911yescharacteristic
1037#95C23×C13911yescharacteristic
1038C24C24×C13911yescharacteristic
1039C24C24×C13911yescharacteristic
1040C2×Q8—22no—
1041C2×Q8—22no—
1042C2×Q8—22no—
1043C2×Q8—41no—
1044C2×Q8—41no—
1045C2×Q8—41no—
1046C2×Q8—41no—
1047C2×Q8—41no—
1048C2×Q8—41no—
1049C2×Q8—41no—
1050C2×Q8—41no—
1051C2×Q8—41no—
1052C2×Q8—41no—
1053C2×Q8—41no—
1054C2×Q8—41no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4C2×Q8×C13914yes—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—41no—
1066C22×C4—41no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4C2×Q8×C13914yes—
1075C22×C4C2×Q8×C13914yes—
1076C22×C4C24×C13911yescharacteristic
1077C22×C4C24×C13911yescharacteristic
1078C22×C4C24×C13911yescharacteristic
1079C22×C4C24×C13911yescharacteristic
1080C22×C4C24×C13911yescharacteristic
1081C22×C4C24×C13911yescharacteristic
1082C22×C4C24×C13911yescharacteristic
1083C22×C4C24×C13911yescharacteristic
1084C22×C4C24×C13911yescharacteristic
1085C22×C4C24×C13911yescharacteristic
1086C22×C4C24×C13911yescharacteristic
1087C22×C4C24×C13911yescharacteristic
1088C22×C4C24×C13911yescharacteristic
1089C22×C4C24×C13911yescharacteristic
1090C22×C4C24×C13911yescharacteristic
1091C22×C4C24×C13911yescharacteristic
1092C22×C4C24×C13911yescharacteristic
1093C22×C4C24×C13911yescharacteristic
1094C22×C4C24×C13911yescharacteristic
1095C22×C4C24×C13911yescharacteristic
1096C22×C4C24×C13911yescharacteristic
1097C22×C4C24×C13911yescharacteristic
1098C22×C4C24×C13911yescharacteristic
1099C22×C4C24×C13911yescharacteristic
1100C22×C4C24×C13911yescharacteristic
1101C22×C4C24×C13911yescharacteristic
1102C22×C4C24×C13911yescharacteristic
1103C22×C4C24×C13911yescharacteristic
1104C22×C4C24×C13911yescharacteristic
1105C4⋊C4—22no—
1106C4⋊C4—22no—
1107C4⋊C4—22no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—22no—
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—22no—
1116C4⋊C4—22no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—41no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4C2×Q8×C13914yes—
1157C22⋊C4—22no—
1158C22⋊C4—22no—
1159C22⋊C4—22no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4C2×Q8×C13914yes—
1178C22⋊C4C2×Q8×C13914yes—
1179C42—22no—
1180C42—22no—
1181C42—41no—
1182C42—41no—
1183C42—41no—
1184C42—41no—
1185C42—41no—
1186C42—41no—
1187C42—41no—
1188C42—41no—
1189C42—41no—
1190C42—41no—
1191C42C2×Q8×C13914yes—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23C22×Q8×C13912yes—
1205C23C22×Q8×C13912yes—
1206C23C25×C13911yescharacteristic
1207Q8—82no—
1208Q8—82no—
1209Q8—82no—
1210Q8—82no—
1211Q8—82no—
1212D4—44no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—44no—
1293C2×C4—44no—
1294C2×C4—44no—
1295C2×C4—44no—
1296C2×C4—82no—
1297C2×C4—82no—
1298C2×C4C22×Q8×C13912yes—
1299C2×C4C22×Q8×C13912yes—
1300C2×C4C22×Q8×C13912yes—
1301C2×C4C22×Q8×C13912yes—
1302C2×C4C22×Q8×C13912yes—
1303C2×C4H(5,𝔽2)×C13912yes—
1304C2×C4H(5,𝔽2)×C13912yes—
1305C2×C42−1+4×C13912yes—
1306C22—22no—
1307C22—22no—
1308C22—22no—
1309C22—22no—
1310C22—22no—
1311C22—22no—
1312C22—41no—
1313C22—41no—
1314C22—41no—
1315C22—41no—
1316C22—41no—
1317C22—41no—
1318C22—41no—
1319C22—41no—
1320C22C23×Q8×C13911yescharacteristic
1321C22C2×H(5,𝔽2)×C13911yescharacteristic
1322C22C2×H(5,𝔽2)×C13911yescharacteristic
1323C22C2×2−1+4×C13911yescharacteristic
1324C22#585×C13911yescharacteristic
1325C22#585×C13911yescharacteristic
1326C22#585×C13911yescharacteristic
1327C4—22no—
1328C4—22no—
1329C4—22no—
1330C4—22no—
1331C4—22no—
1332C4—22no—
1333C4—22no—
1334C4—22no—
1335C4—41no—
1336C4—41no—
1337C4—41no—
1338C4—41no—
1339C4—41no—
1340C4—41no—
1341C4—41no—
1342C4—41no—
1343C4—41no—
1344C4—41no—
1345C4—41no—
1346C4—41no—
1347C4—41no—
1348C4—41no—
1349C4—41no—
1350C4—41no—
1351C4—41no—
1352C4—41no—
1353C4—41no—
1354C4—41no—
1355C4—41no—
1356C2—42no—
1357C2—42no—
1358C2#3458×C13911yescharacteristic
1359C2#3501×C13911yescharacteristic
1360C2#3503×C13911yescharacteristic
1361C2#3535×C13911yescharacteristic
1362C2#3542×C13911yescharacteristic
1363C2#3557×C13911yescharacteristic
1364C2#3562×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutator, Frattini, cosocleC23C25×C139
prime radicalC22×D4×C139C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #2857×C139C2semidirect
2. #2855×C139C2semidirect
3. #2807×C139C2semidirect
4. #2806×C139C2semidirect
5. #2792×C139C2semidirect
6. #2791×C139C2semidirect
7. #2788×C139C2semidirect
9. #2742×C139C2semidirect
11. #2729×C139C2semidirect
12. #2720×C139C2semidirect
13. #2720×C139C2semidirect
14. #2713×C139C2semidirect
15. #2704×C139C2semidirect
18. #2677×C139C2semidirect
19. #2667×C139C2semidirect
20. #2665×C139C2semidirect
21. #2612×C139C2semidirect
22. #2607×C139C2semidirect
23. #2606×C139C2semidirect
24. #2605×C139C2semidirect
25. #2550×C139C2semidirect
26. #2549×C139C2semidirect
27. #2441×C139C2semidirect
28. #2438×C139C2semidirect
209. C4×D4×C139Q8semidirect
682. #36753C139direct (N × H)
683. C139#36753direct (N × H)
684. #2857C2×C139semidirect
685. #2855C2×C139semidirect
686. #2807C2×C139semidirect
687. #2806C2×C139semidirect
688. #2792C2×C139semidirect
689. #2791C2×C139semidirect
690. #2788C2×C139semidirect
692. #2742C2×C139semidirect
694. #2729C2×C139semidirect
695. #2720C2×C139semidirect
696. #2720C2×C139semidirect
697. #2713C2×C139semidirect
698. #2704C2×C139semidirect
701. #2677C2×C139semidirect
702. #2667C2×C139semidirect
703. #2665C2×C139semidirect
704. #2612C2×C139semidirect
705. #2607C2×C139semidirect
706. #2606C2×C139semidirect
707. #2605C2×C139semidirect
708. #2550C2×C139semidirect
709. #2549C2×C139semidirect
710. #2441C2×C139semidirect
711. #2438C2×C139semidirect
892. C4×D4Q8×C139semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#2857×C1392
#2855×C1392
#2807×C1392
#2806×C1392
#2792×C1392
#2791×C1392
#2788×C1392
#2748×C1392
#2742×C1392
#2732×C1392
#2729×C1392
#2720×C1392
#2713×C1392
#2704×C1392
#2692×C1392
#2677×C1392
#2667×C1392
#2665×C1392
#2612×C1392
#2607×C1392
#2606×C1392
#2605×C1392
#2550×C1392
#2549×C1392
#2441×C1392
#2438×C1392
#2319×C1392
#2318×C1392
#2290×C1392
#36753139